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34056466064124 = 22372521111169213
BaseRepresentation
bin1111011111001011000111…
…00011111110001011111100
311110120202200200020201111120
413233211203203332023330
513430440120303022444
6200233154032550540
710113332656130100
oct757454343761374
9143522620221446
1034056466064124
11a9402a2274419
1239a04556b2450
1316006847a5c3a
1485a4adaa9900
153e0d48124b19
hex1ef9638fe2fc

34056466064124 has 72 divisors (see below), whose sum is σ = 92616406213968. Its totient is φ = 9711742360320.

The previous prime is 34056466064107. The next prime is 34056466064171. The reversal of 34056466064124 is 42146066465043.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55278259 + ... + 55890954.

It is an arithmetic number, because the mean of its divisors is an integer number (1286338975194).

Almost surely, 234056466064124 is an apocalyptic number.

It is an amenable number.

34056466064124 is an abundant number, since it is smaller than the sum of its proper divisors (58559940149844).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34056466064124 is a wasteful number, since it uses less digits than its factorization.

34056466064124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111169755 (or 111169746 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 51.

The spelling of 34056466064124 in words is "thirty-four trillion, fifty-six billion, four hundred sixty-six million, sixty-four thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 521 588 1042 1563 2084 3126 3647 6252 7294 10941 14588 21882 25529 43764 51058 76587 102116 153174 306348 111169213 222338426 333507639 444676852 667015278 778184491 1334030556 1556368982 2334553473 3112737964 4669106946 5447291437 9338213892 10894582874 16341874311 21789165748 32683748622 57919159973 65367497244 115838319946 173757479919 231676639892 347514959838 405434119811 695029919676 810868239622 1216302359433 1621736479244 2432604718866 2838038838677 4865209437732 5676077677354 8514116516031 11352155354708 17028233032062 34056466064124